Dade's invariant conjecture for the Chevalley groups of type G_2 in the defining characteristic

Shih-chang Huang

Abstract

This paper is part of a program to study the conjecture of E.C. Dade on counting characters in blocks for several finite groups. In this paper, we verify Dade's invariant conjecture for the Chevalley groups G_2(q) in the defining characteristic when q is not a power of 2 or 3. This implies Dade's final conjecture when q is not a power of 2 or 3.

Keywords
Character table, Dade's invariant conjecture

Math Review Classification
Primary 20C20, 20C33

Last Updated

Length
12

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